Linear-Time Temporal Answer Set Programming

In this survey, we present an overview on (Modal) Temporal Logic Programming in view of its application to Knowledge Representation and Declarative Problem Solving. The syntax of this extension of logic programs is the result of combining usual rules with temporal modal operators, as in Linear-time...

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Veröffentlicht in:Theory and practice of logic programming Jg. 23; H. 1; S. 2 - 56
Hauptverfasser: AGUADO, FELICIDAD, CABALAR, PEDRO, DIÉGUEZ, MARTÍN, PÉREZ, GILBERTO, SCHAUB, TORSTEN, SCHUHMANN, ANNA, VIDAL, CONCEPCIÓN
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cambridge Cambridge University Press 01.01.2023
Cambridge University Press (CUP)
Schlagworte:
Computer Science
Declarative programming
Equilibrium
Formalism
Knowledge representation
Logic programming
Logic programs
Mathematical programming
Semantics
Solvers
Syntax
Temporal logic
ISSN:1471-0684, 1475-3081
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Zusammenfassung:In this survey, we present an overview on (Modal) Temporal Logic Programming in view of its application to Knowledge Representation and Declarative Problem Solving. The syntax of this extension of logic programs is the result of combining usual rules with temporal modal operators, as in Linear-time Temporal Logic (LTL). In the paper, we focus on the main recent results of the non-monotonic formalism called Temporal Equilibrium Logic (TEL) that is defined for the full syntax of LTL but involves a model selection criterion based on Equilibrium Logic , a well known logical characterization of Answer Set Programming (ASP). As a result, we obtain a proper extension of the stable models semantics for the general case of temporal formulas in the syntax of LTL. We recall the basic definitions for TEL and its monotonic basis, the temporal logic of Here-and-There (THT), and study the differences between finite and infinite trace length. We also provide further useful results, such as the translation into other formalisms like Quantified Equilibrium Logic and Second-order LTL, and some techniques for computing temporal stable models based on automata constructions. In the remainder of the paper, we focus on practical aspects, defining a syntactic fragment called (modal) temporal logic programs closer to ASP, and explaining how this has been exploited in the construction of the solver telingo , a temporal extension of the well-known ASP solver clingo that uses its incremental solving capabilities.
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ISSN:1471-0684
1475-3081
DOI:10.1017/S1471068421000557